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Finding the Fourth Proportional to 101,563.70, 152,359.72 and 42,385.80

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Solution

The fourth proportional to 101,563.70, 152,359.72 and 42,385.80 is: 63,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,563.70 : 152,359.72 = 42,385.80 : x
  2. Step 2: Convert to fraction form
    101,563.70/152,359.72 = 42,385.80/x
  3. Step 3: Cross multiply
    101,563.70x = 152,359.72 × 42,385.80
  4. Step 4: Simplify right side
    101,563.70x = 6,457,888,619.98
  5. Step 5: Solve for x
    x = 6,457,888,619.98/101,563.70
  6. Step 6: Final answer
    x = 63,584.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.